What is the value of X and y?

You know the number of minutes you have to wait is equal to 300 minutes.

Measurement is the method of comparing the properties of a quantity or object using a standard quantity.

Measurement is essential to determine the quantity of any object

Given that you are told that you will have to wait for 5 hours in a line with a group of other people.

So time you have to wait in the line = 5 hours

But you need the time in minutes.

1 hour = 60 minutes

5 hours = 60 × 5 minutes

             = 300 minutes

Hence you will have to wait for 300 minutes in the line.

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Answer:

The composite figure is made up of a rectangular prism on top of a rectangular prism.

Step-by-step explanation:

The figure on top is a rectangular prism.  It is a 6 sided figure with each side a rectangle.  The figure on bottom is also a rectangular prism.  It is a 6 sided figure with each side a rectangle.

Answer:

125°

Step-by-step explanation:

The total must be 180°.

180° - 55°

125°

Answer:

Step-by-step explanation:

Angle on a straight line = 180°

Given angle = 55°

Unknown angle = x°

\(x+55=180\\\\x=180-55\\\\x=125\°\)

The limit of the function as x approaches -2 is 20.To find the limit of the function (if it exists), we can substitute the given value into the function and simplify. Given function: f(x) = 4x² + 5x - 6x + 2

To find the limit as x approaches -2, we substitute -2 into the function:

f(-2) = 4(-2)² + 5(-2) - 6(-2) + 2
      = 4(4) - 10 + 12 + 2
      = 16 - 10 + 12 + 2
      = 20

Therefore, the limit of the function as x approaches -2 is 20.

To write a simpler function that agrees with the given function at all but one point, we can use a graphing utility. By plotting the given function and observing its behavior, we can create a simpler function that matches the original function except at one point.

However, without further information about the specific behavior of the given function, it is not possible to provide a more detailed explanation or a graph of the simpler function.

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Answer:

1. It is not appropriate to use the normal curve, since np = 7.4 < 10.

2. The probability that more than 32% of the people in this sample have high blood pressure is 0.0033 = 0.33%.

Step-by-step explanation:

Binomial approximation to the normal:

The binomial approximation to the normal can be used if:

np >= 10 and n(1-p) >= 10

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

\(E(X) = np\)

The standard deviation of the binomial distribution is:

\(\sqrt{V(X)} = \sqrt{np(1-p)}\)

Normal probability distribution

Problems of normally distributed distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \(\mu = p\) and standard deviation \(s = \sqrt{\frac{p(1-p)}{n}}\)

The proportion of U.S. adults with high blood pressure is 0.2. A sample of 37 U.S. adults is chosen.

This means, respectively, that \(p = 0.2, n = 37\)

Is it appropriate to use the normal approximation to find the probability that more than 48% of the people in the sample have high blood pressure?

np = 37*0.2 = 7.4 < 10

So not appropriate.

It is not appropriate to use the normal curve, since np = 7.4 < 10.

Part 2:

Now n = 82, 82*0.2 = 16.4 > 10, so ok

Mean and standard deviation:

By the Central Limit Theorem,

Mean \(\mu = p = 0.2\)

Standard deviation \(s = \sqrt{\frac{0.2*0.8}{82}} = 0.0442\)

Find the probability that more than 32% of the people in this sample have high blood pressure.

This probability is 1 subtracted by the pvalue of Z when X = 0.32. So

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{0.32 - 0.2}{0.0442]\)

\(Z = 2.72\)

\(Z = 2.72\) has a pvalue of 0.9967.

1 - 0.9967 = 0.0033

The probability that more than 32% of the people in this sample have high blood pressure is 0.0033 = 0.33%.

Step-by-step explanation:

The key sentence in this problem is "The cost c(in dollars) per family of the vacation home is inversely proportional to the number t of families sharing the house". Let's translate that into an equation by breaking it down. This is a fairly straightforward question but I will go through it in small steps as learning to translate word problems can be tricky!

First remove the descriptive words that do not translate to variables, constants, or operators. This leaves "cost per family is inversely proportional to number of families per cost of house". I rewrote "sharing the house" as "cost of house" since the families are sharing the cost of the house, not the actual house itself simultaneously. Proportionality in math is represented by the equation:

a1 / b1 = a2 / b2

In math "is" implies "=" or equality, and "per" implies "/" or division. So let's rewrite the sentence with that information.

"cost / family = number of families / cost of house"

Inversely proportional tells us that as c grows, t will decrease and vice-versa. Thus, we know c and t are on opposite side of the division sign. Another way you can look at it, is that we must flip the left side of the equation as it is inversely proportional (what we have now is directly proportional).

"cost / family = cost of house / number of families"

Now to get our final equation we just need to replace the remaining words with variables and constants. I will use Ch for cost of house and f for family, we already were given t for number of families, and c for cost.

c / f = Ch / t

We do not know Ch yet, but we do know f = 1 as it represents 1 family's associated cost. We can solve for Ch if we plug in the c = 1000, t = 3 pair of values we were given. I will omit f as division by 1 simplifies to the numerator (in this case c).

1000 = Ch/3

3000 = Ch Multiplying both sides by 3 and dividing simplifying division by 1

We can now rewrite our final proportion equation: c = 3000/t. Remember we want the cost to be 600 per family and are looking for t, the number of families we need.

600 = 3000 / t

600 * t = 3000 Multiplying both side by t

t = 3000 / 600 Divide both sides by 600

t = 5

So 5 families will result in each family contributing $600. The cool part about proportionality equations, is once we have solved for the equation constants we can figure out the resulting variable from any other variable. For example if I knew 8 families had signed up to rent my beach house this summer then I would be able to plug in t = 8 and get c = 3000/8 or c = 375. Thus each family would only pay $375. I hope this helps your understanding of proportionality and translating word problems into equations.

Answer:

100 miles

Step-by-step explanation:

Let m be the number of miles.

\(100 + .30m = 50 + .80m\)

\(100 = 50 + .50m\)

\(.50m = 50\)

\(m = 100\)

Answer:

100

Step-by-step explanation:

You can put into a graph such as desmos and see where the lines intersect. the x value of the intersection is the answer you want.

The value of cos(45°) is √2/2. The correct answer choice is D. √2.

In the given diagram, the angle labeled as 45° is part of a right triangle. To find the value of cos(45°), we need to determine the ratio of the adjacent side to the hypotenuse.

Since the angle is 45°, we can assume that the triangle is an isosceles right triangle, meaning the two legs are congruent. Let's assume the length of one leg is x. Then, by the Pythagorean theorem, the length of the hypotenuse would be x√2.

Now, using the definition of cosine, which is adjacent/hypotenuse, we can substitute the values:

cos(45°) = x/(x√2) = 1/√2

Simplifying further, we rationalize the denominator:

cos(45°) = 1/√2 * √2/√2 = √2/2

Therefore, the value of cos(45°) is √2/2.

The correct answer choice is D. √2.

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3(x+2) = 5x-7

Simplify the left side:

3x+6 = 5x -7

Subtract 3x from both sides:

6 = 2x-7

Add 7 to both sides:

13 = 2x

Divide both sides by 2:

x = 13/2

Answer:

13/2

Step-by-step explanation:

3x+6=5x-7

6+7=5x-3x

13=2x

X=13/2

Answer:

y = -3

Step-by-step explanation:

y= 1/4x and x = -12

Substitute x=12 into the first equation

y = 1/4(-12)

y = -3

Answer:

-3

Step-by-step explanation:

1/4 x -12

Answer:

The maximum profit the florist will earn from selling celebration bouquets is $725.

The florist will break-even after one-dollar decreases when her profit is zero. From the graph, this occurs at x = 10. So the florist will break-even after 10 one-dollar decreases.

The interval of the number of one-dollar decreases for which the florist makes a profit from celebration bouquets is (0, 10). This is because the profit is positive for values of x between 0 and 10, and becomes negative after 10.

Step-by-step explanation:

Answer:

2x -18x +14y -19 = -16x +14y -19 . . . not the same

-2xy -1 . . . not the same

16x +14y -1 . . . not the same

9 -16x +14y -10 = -16x +14y -1 . . . equivalent

-16x +14y -1 . . . equivalent and simplified

2x -18x +14y -1 = -16x +14y -1 . . . equivalent

Step-by-step explanation:

Answer:

Takk fyrir

Step-by-step explanation:

Answer:

56) f(x) = c(x - 1)²/(x - 3)

f(0) = c/-3 = 4

c = -12

f(x) = -12(x - 1)²/(x - 3)

Answer:

\((\frac{1}{2}+\frac{\sqrt{3}}{2}i)^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i\)

Step-by-step explanation:

Convert 1/2 + i√3/2 to rectangular form

\(\displaystyle z=a+bi=\frac{1}{2}+\frac{\sqrt{3}}{2}i\\\\r=\sqrt{a^2+b^2}=\sqrt{\biggr(\frac{1}{2}\biggr)^2+\biggr(\frac{\sqrt{3}}{2}\biggr)^2}=\sqrt{\frac{1}{4}+\frac{3}{4}}=\sqrt{1}=1\\\\\theta=\tan^{-1}\biggr(\frac{b}{a}\biggr)=\tan^{-1}\biggr(\frac{\frac{\sqrt{3}}{2}}{\frac{1}{2}}\biggr)=\tan^{-1}(\sqrt{3})=\frac{\pi}{3}\\\\z=\cos\frac{\pi}{3}+i\sin\frac{\pi}{3}\)

Use DeMoivre's Theorem

\(\displaystyle z^n=r^n(\cos(n\theta)+i\sin(n\theta))\\\\z^5=1^5\biggr(\cos\biggr(\frac{5\pi}{3}\biggr)+i\sin\biggr(\frac{5\pi}{3}\biggr)\biggr)\\\\z^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i\)

Answer:

the answer is 45.9

Step-by-step explanation:

Answer:

45.9

Step-by-step explanation:

Answer:

you forgot the rest of the question homie but once there is 20 companies both companies will be equal

Step-by-step explanation:

Answer:

20 windows

Step-by-step explanation:

The formula that can be used to illustrate consecutive even numbers is a + 2.

It should be noted that the information is incomplete. Therefore, an overview will be given.

It should be noted that consecutive even numbers we the numbers that follow each other and have a difference of 2.

Examples of such numbers include 2, 4, 6,8, 10, etc.

In this case, the formula that can be used to illustrate consecutive even numbers is a + 2.

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The probability, if Greg gets dressed in the dark, that he winds up wearing the white shirt and tan pants is 0.125 or 12.5%.

To find the probability that Greg winds up wearing the white shirt and tan pants while getting dressed in the dark, we need to find out all the possible outfit options. According to the question given, first we nned to find out number of outfit combinations possible.

Total number of Outfit Combinations:

There are 4 shirts: a white one, a black one, a red one, and a blue one and also two pairs of pants, one blue and one tan. So, total number of possible outfit combinations would be 4 * 2 = 8.

No of favourable options:

As given in the question, Greg wears white shirt and tan pants. There is only one white shirt and one tan pant. So, number of favourable options would be only 1 .

Probability = Number of favourable outcomes/Total no. of combinations

Probability = 1/8

Probability = 0.125 or 12.5%

Therefore, the probability, if Greg gets dressed in the dark, that he winds up wearing the white shirt and tan pants is 0.125 or 12.5%.

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Answer:

perimeter ( in cm )

= 4+13+9+5+5+5+10+3

= 54 cm

1 cm = 3 yards

54 cm = 54×3

= 162 yards

Answer:

You are correct it is the bigger one

Step-by-step explanation:

Nina has 15 coins in all a group of pennies worth the same value as a dime.

We know that 10 pennies are equivalent to one dime.

If Nina has a group of pennies worth the same value as a dime, then the number of pennies must be 10.

Nina also has 5 dimes.

Adding together the values of multiple coins in order to determine the total number of coins that Nina has.

So, the total number of coins she has is:

= pennies + dimes

= 10 + 5

= 15 coins

Thus, she has 15 coins in all a group of pennies worth the same value as a dime.

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Answer:

The answer is the last one 5/12 > 3/8

Step-by-step explanation:

Convert the fractions to regular numbers so 5/12 just do 5 ÷ 12 and 3/8 do 3 ÷ 8 whatever side has the arrow opened to means that's should be the bigger number for example 2 > 1 is true because 2 is greater than 1 but 2 < 1 is false

Answer:

5/12>3/8

Step-by-step explanation:

you need a common denominator

you multiply 5/12 by 2 the top and the bottom to get 10/24

then you multiply 3/8 by 3 the top and the bottom to get 9/24

10/24>9/24

Answer:

-1

Step-by-step explanation:

Answer:

y = 5 x - 1

Step-by-step explanation:

Use the "point-slope" form of a line with slope m = 5 and going through the point (x1, y1) = (2, 9)

y - y1 = m (x - x1)

in our case:

y - 9 = 5 (x - 2)

distributive property to reduce the parenthesis:

y - 9 = 5 x - 10

adding 9 to both sides:

y = 5 x - 10 + 9

y = 5 x - 1

Answer:

5.25 miles

Step-by-step explanation:

Total distance = 7 miles

Distance she rode before lunch = 3/4 of the total distance

=> 3/4 of 7

=> 21/4

=> 5.25 miles

So, she drove 5.25 miles before lunch.

Answer:

1. tan J

2. D. tan(∠x) = yz/xy

Step-by-step explanation:

1. Remember that tangent is opposite over hypotenuse. So 12 has to be opposite of x point. The only point suitable would be point J. Therefore, your answer is for tan∅ is tan J.

2. Same concept here as in 1. Extra: If tan is sin∅/cos∅ on the unit circle, that means yz would have to be sin and yx would have to be cos.

There were 5 1/4 bags of popcorn left after eating 4 bags.

To find out how much popcorn was left after eating 4 bags, we need to subtract the amount eaten from the total amount Brianna made.

Brianna made 9 1/4 bags of popcorn, which can be represented as a mixed number. To perform calculations, let's convert it to an improper fraction:

9 1/4 = (4 * 9 + 1) / 4 = 37/4

Now, let's subtract the 4 bags eaten from the total:

37/4 - 4

To subtract fractions, we need a common denominator. The common denominator of 4 and 1 is 4. Therefore, we can rewrite the expression as:

37/4 - 4/1

Now, let's find a common denominator and subtract the fractions:

37/4 - 16/4 = (37 - 16) / 4 = 21/4

The result is 21/4, which is an improper fraction. Let's convert it back to a mixed number:

21/4 = 5 1/4

Therefore, there were 5 1/4 bags of popcorn left after eating 4 bags.

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